The evaporation-capillary pumping flow of the capillary wick and the working
fluid system was experimentally studied in this paper. The capillary wick
used in the experiment was fiber, and the working fluid contained water,
ethanol and ethanol aqueous solution with water content of 25wt.%, 50wt.%
and 75wt.%. The results show that the capillary pumping rate with ethanol as
working fluid is between 210.0kg/m2sand 1812.5kg/m2swhen there is no heat
load added. When the heating flux is 10616W/m2, 15924W/m2, 21231W/m2,
26539W/m2, the evaporation-capillary pumping rate is102.5kg/m2s,
247.5kg/m2s, 390.0kg/m2s and 530.0kg/m2s, respectively. The higher the heat
load power, the greater the evaporation-capillary pumping rate and the
higher the final stable temperature. With the increase of heat load power,
the time required to reach temperature balance becomes shorter and the
temperature fluctuations after reaching temperature equilibrium become
larger. The obvious temperature fluctuation has occurred when the heat flux
is 26539W/m2. The evaporation capillary pumping rate corresponding to the
four different concentrations of ethanol solution in the experiment gradually
decreases with the increase of water content. The temperature change
processes and the final equilibrium temperatures of the four working fluids
are nearly the same. The differences in boiling point of the working fluids
do not have much influence here.
We use Stein's method to establish the rates of normal approximation in terms of the total variation distance for a large class of sums of score functions of marked Poisson point processes on R d . As in the study under the weaker Kolmogorov distance, the score functions are assumed to satisfy stabilizing and moment conditions. At the cost of an additional non-singularity condition for score functions, we show that the rates are in line with those under the Kolmogorov distance. We demonstrate the use of the theorems in four applications: Voronoi tessellation, k-nearest neighbours, timber volume and maximal layers.
We use Stein’s method to establish the rates of normal approximation in terms of the total variation distance for a large class of sums of score functions of samples arising from random events driven by a marked Poisson point process on
$\mathbb{R}^d$
. As in the study under the weaker Kolmogorov distance, the score functions are assumed to satisfy stabilisation and moment conditions. At the cost of an additional non-singularity condition, we show that the rates are in line with those under the Kolmogorov distance. We demonstrate the use of the theorems in four applications: Voronoi tessellations, k-nearest-neighbours graphs, timber volume, and maximal layers.
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